Regular implementation in the space of compactly supported functions
نویسندگان
چکیده
منابع مشابه
Regular implementation in the space of compactly supported functions
This article extends results on regular implementablity in [3] and [8] to the case when the signal space is not an injective cogenerator, for instance, the space D of compactly supported smooth functions on R. In this case the bijective correspondence between behaviors and modules fails to hold; also projections and sums of behaviors need not in general be behaviors. A more general version of i...
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Daubechies 5] showed that, except for the Haar function, there exist no compactly supported orthogonal symmetric scaling functions for the dilation q = 2. Nevertheless, such scaling functions do exist for dilations q > 2 (as evidenced by Chui and Lian's construction 3] for q = 3); these functions are the main object of this paper. We construct new symmetric scaling functions and introduce the \...
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ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2008
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2008.03.015